Combining Ratios WORKSHEET

Suitable for Year groups: Year 9, Year 10
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Equivalent ratios, lowest common multiples, sharing ratios, angles in a triangle

Combining Ratios WORKSHEET DESCRIPTION

This worksheet gives a scaffolded approach to solving ratio problems involving converting two two-part ratios to a single three-part ratio.

Section A leads learners through a structured process to find a common multiple which will give the final three-part ratio.

Section B provides more problems similar to Section A but with blank tables and no scaffolding.

Section C then introduces the problem of the ratio of distances between four points on a line. A diagram and structured process are provided for each question.

Section D then provides some worded contextual problems which will require the processes used in the earlier sections.